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Finding the Fourth Proportional to 507.33, 761.40 and 312.12

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Solution

The fourth proportional to 507.33, 761.40 and 312.12 is: 468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.33 : 761.40 = 312.12 : x
  2. Step 2: Convert to fraction form
    507.33/761.40 = 312.12/x
  3. Step 3: Cross multiply
    507.33x = 761.40 × 312.12
  4. Step 4: Simplify right side
    507.33x = 237,648.17
  5. Step 5: Solve for x
    x = 237,648.17/507.33
  6. Step 6: Final answer
    x = 468.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.